\(\int \frac {(A+C \cos ^2(c+d x)) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx\) [108]

Optimal result

Integrand size = 35, antiderivative size = 159 \[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=\frac {(7 A+8 C) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x)}{\sqrt {a+a \cos (c+d x)}}\right )}{4 \sqrt {a} d}-\frac {\sqrt {2} (A+C) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \cos (c+d x)}}\right )}{\sqrt {a} d}-\frac {A \tan (c+d x)}{4 d \sqrt {a+a \cos (c+d x)}}+\frac {A \sec (c+d x) \tan (c+d x)}{2 d \sqrt {a+a \cos (c+d x)}} \]

[Out]

1/4*(7*A+8*C)*arctanh(sin(d*x+c)*a^(1/2)/(a+a*cos(d*x+c))^(1/2))/d/a^(1/2)-(A+C)*arctanh(1/2*sin(d*x+c)*a^(1/2
)*2^(1/2)/(a+a*cos(d*x+c))^(1/2))*2^(1/2)/d/a^(1/2)-1/4*A*tan(d*x+c)/d/(a+a*cos(d*x+c))^(1/2)+1/2*A*sec(d*x+c)
*tan(d*x+c)/d/(a+a*cos(d*x+c))^(1/2)

Rubi [A] (verified)

Time = 0.77 (sec) , antiderivative size = 159, normalized size of antiderivative = 1.00, number of steps used = 7, number of rules used = 6, \(\frac {\text {number of rules}}{\text {integrand size}}\) = 0.171, Rules used = {3123, 3063, 3064, 2728, 212, 2852} \[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=\frac {(7 A+8 C) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x)}{\sqrt {a \cos (c+d x)+a}}\right )}{4 \sqrt {a} d}-\frac {\sqrt {2} (A+C) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x)}{\sqrt {2} \sqrt {a \cos (c+d x)+a}}\right )}{\sqrt {a} d}-\frac {A \tan (c+d x)}{4 d \sqrt {a \cos (c+d x)+a}}+\frac {A \tan (c+d x) \sec (c+d x)}{2 d \sqrt {a \cos (c+d x)+a}} \]

[In]

Int[((A + C*Cos[c + d*x]^2)*Sec[c + d*x]^3)/Sqrt[a + a*Cos[c + d*x]],x]

[Out]

((7*A + 8*C)*ArcTanh[(Sqrt[a]*Sin[c + d*x])/Sqrt[a + a*Cos[c + d*x]]])/(4*Sqrt[a]*d) - (Sqrt[2]*(A + C)*ArcTan
h[(Sqrt[a]*Sin[c + d*x])/(Sqrt[2]*Sqrt[a + a*Cos[c + d*x]])])/(Sqrt[a]*d) - (A*Tan[c + d*x])/(4*d*Sqrt[a + a*C
os[c + d*x]]) + (A*Sec[c + d*x]*Tan[c + d*x])/(2*d*Sqrt[a + a*Cos[c + d*x]])

Rule 212

Int[((a_) + (b_.)*(x_)^2)^(-1), x_Symbol] :> Simp[(1/(Rt[a, 2]*Rt[-b, 2]))*ArcTanh[Rt[-b, 2]*(x/Rt[a, 2])], x]
/; FreeQ[{a, b}, x] && NegQ[a/b] && (GtQ[a, 0] || LtQ[b, 0])

Rule 2728

Int[1/Sqrt[(a_) + (b_.)*sin[(c_.) + (d_.)*(x_)]], x_Symbol] :> Dist[-2/d, Subst[Int[1/(2*a - x^2), x], x, b*(C
os[c + d*x]/Sqrt[a + b*Sin[c + d*x]])], x] /; FreeQ[{a, b, c, d}, x] && EqQ[a^2 - b^2, 0]

Rule 2852

Int[Sqrt[(a_) + (b_.)*sin[(e_.) + (f_.)*(x_)]]/((c_.) + (d_.)*sin[(e_.) + (f_.)*(x_)]), x_Symbol] :> Dist[-2*(
b/f), Subst[Int[1/(b*c + a*d - d*x^2), x], x, b*(Cos[e + f*x]/Sqrt[a + b*Sin[e + f*x]])], x] /; FreeQ[{a, b, c
, d, e, f}, x] && NeQ[b*c - a*d, 0] && EqQ[a^2 - b^2, 0] && NeQ[c^2 - d^2, 0]

Rule 3063

Int[((a_) + (b_.)*sin[(e_.) + (f_.)*(x_)])^(m_)*((A_.) + (B_.)*sin[(e_.) + (f_.)*(x_)])*((c_.) + (d_.)*sin[(e_
.) + (f_.)*(x_)])^(n_), x_Symbol] :> Simp[(B*c - A*d)*Cos[e + f*x]*(a + b*Sin[e + f*x])^m*((c + d*Sin[e + f*x]
)^(n + 1)/(f*(n + 1)*(c^2 - d^2))), x] + Dist[1/(b*(n + 1)*(c^2 - d^2)), Int[(a + b*Sin[e + f*x])^m*(c + d*Sin
[e + f*x])^(n + 1)*Simp[A*(a*d*m + b*c*(n + 1)) - B*(a*c*m + b*d*(n + 1)) + b*(B*c - A*d)*(m + n + 2)*Sin[e +
f*x], x], x], x] /; FreeQ[{a, b, c, d, e, f, A, B, m}, x] && NeQ[b*c - a*d, 0] && EqQ[a^2 - b^2, 0] && NeQ[c^2
- d^2, 0] && LtQ[n, -1] && (IntegerQ[n] || EqQ[m + 1/2, 0])

Rule 3064

Int[((A_.) + (B_.)*sin[(e_.) + (f_.)*(x_)])/(Sqrt[(a_) + (b_.)*sin[(e_.) + (f_.)*(x_)]]*((c_.) + (d_.)*sin[(e_
.) + (f_.)*(x_)])), x_Symbol] :> Dist[(A*b - a*B)/(b*c - a*d), Int[1/Sqrt[a + b*Sin[e + f*x]], x], x] + Dist[(
B*c - A*d)/(b*c - a*d), Int[Sqrt[a + b*Sin[e + f*x]]/(c + d*Sin[e + f*x]), x], x] /; FreeQ[{a, b, c, d, e, f,
A, B}, x] && NeQ[b*c - a*d, 0] && EqQ[a^2 - b^2, 0] && NeQ[c^2 - d^2, 0]

Rule 3123

Int[((a_) + (b_.)*sin[(e_.) + (f_.)*(x_)])^(m_.)*((c_.) + (d_.)*sin[(e_.) + (f_.)*(x_)])^(n_)*((A_.) + (C_.)*s
in[(e_.) + (f_.)*(x_)]^2), x_Symbol] :> Simp[(-(c^2*C + A*d^2))*Cos[e + f*x]*(a + b*Sin[e + f*x])^m*((c + d*Si
n[e + f*x])^(n + 1)/(d*f*(n + 1)*(c^2 - d^2))), x] + Dist[1/(b*d*(n + 1)*(c^2 - d^2)), Int[(a + b*Sin[e + f*x]
)^m*(c + d*Sin[e + f*x])^(n + 1)*Simp[A*d*(a*d*m + b*c*(n + 1)) + c*C*(a*c*m + b*d*(n + 1)) - b*(A*d^2*(m + n
+ 2) + C*(c^2*(m + 1) + d^2*(n + 1)))*Sin[e + f*x], x], x], x] /; FreeQ[{a, b, c, d, e, f, A, C, m}, x] && NeQ
[b*c - a*d, 0] && EqQ[a^2 - b^2, 0] && NeQ[c^2 - d^2, 0] &&  !LtQ[m, -2^(-1)] && (LtQ[n, -1] || EqQ[m + n + 2,
0])

Rubi steps \begin{align*} \text {integral}& = \frac {A \sec (c+d x) \tan (c+d x)}{2 d \sqrt {a+a \cos (c+d x)}}+\frac {\int \frac {\left (-\frac {a A}{2}+\frac {1}{2} a (3 A+4 C) \cos (c+d x)\right ) \sec ^2(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx}{2 a} \\ & = -\frac {A \tan (c+d x)}{4 d \sqrt {a+a \cos (c+d x)}}+\frac {A \sec (c+d x) \tan (c+d x)}{2 d \sqrt {a+a \cos (c+d x)}}+\frac {\int \frac {\left (\frac {1}{4} a^2 (7 A+8 C)-\frac {1}{4} a^2 A \cos (c+d x)\right ) \sec (c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx}{2 a^2} \\ & = -\frac {A \tan (c+d x)}{4 d \sqrt {a+a \cos (c+d x)}}+\frac {A \sec (c+d x) \tan (c+d x)}{2 d \sqrt {a+a \cos (c+d x)}}+(-A-C) \int \frac {1}{\sqrt {a+a \cos (c+d x)}} \, dx+\frac {(7 A+8 C) \int \sqrt {a+a \cos (c+d x)} \sec (c+d x) \, dx}{8 a} \\ & = -\frac {A \tan (c+d x)}{4 d \sqrt {a+a \cos (c+d x)}}+\frac {A \sec (c+d x) \tan (c+d x)}{2 d \sqrt {a+a \cos (c+d x)}}+\frac {(2 (A+C)) \text {Subst}\left (\int \frac {1}{2 a-x^2} \, dx,x,-\frac {a \sin (c+d x)}{\sqrt {a+a \cos (c+d x)}}\right )}{d}-\frac {(7 A+8 C) \text {Subst}\left (\int \frac {1}{a-x^2} \, dx,x,-\frac {a \sin (c+d x)}{\sqrt {a+a \cos (c+d x)}}\right )}{4 d} \\ & = \frac {(7 A+8 C) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x)}{\sqrt {a+a \cos (c+d x)}}\right )}{4 \sqrt {a} d}-\frac {\sqrt {2} (A+C) \text {arctanh}\left (\frac {\sqrt {a} \sin (c+d x)}{\sqrt {2} \sqrt {a+a \cos (c+d x)}}\right )}{\sqrt {a} d}-\frac {A \tan (c+d x)}{4 d \sqrt {a+a \cos (c+d x)}}+\frac {A \sec (c+d x) \tan (c+d x)}{2 d \sqrt {a+a \cos (c+d x)}} \\ \end{align*}

Mathematica [A] (verified)

Time = 0.51 (sec) , antiderivative size = 113, normalized size of antiderivative = 0.71 \[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=\frac {\cos \left (\frac {1}{2} (c+d x)\right ) \left (-8 (A+C) \text {arctanh}\left (\sin \left (\frac {1}{2} (c+d x)\right )\right )+\sqrt {2} (7 A+8 C) \text {arctanh}\left (\sqrt {2} \sin \left (\frac {1}{2} (c+d x)\right )\right )+A \sec ^2(c+d x) \left (5 \sin \left (\frac {1}{2} (c+d x)\right )-\sin \left (\frac {3}{2} (c+d x)\right )\right )\right )}{4 d \sqrt {a (1+\cos (c+d x))}} \]

[In]

Integrate[((A + C*Cos[c + d*x]^2)*Sec[c + d*x]^3)/Sqrt[a + a*Cos[c + d*x]],x]

[Out]

(Cos[(c + d*x)/2]*(-8*(A + C)*ArcTanh[Sin[(c + d*x)/2]] + Sqrt[2]*(7*A + 8*C)*ArcTanh[Sqrt[2]*Sin[(c + d*x)/2]
] + A*Sec[c + d*x]^2*(5*Sin[(c + d*x)/2] - Sin[(3*(c + d*x))/2])))/(4*d*Sqrt[a*(1 + Cos[c + d*x])])

Maple [B] (verified)

Leaf count of result is larger than twice the leaf count of optimal. \(909\) vs. \(2(134)=268\).

Time = 9.73 (sec) , antiderivative size = 910, normalized size of antiderivative = 5.72

method	result	size
parts	\(\text {Expression too large to display}\)	\(910\)
default	\(\text {Expression too large to display}\)	\(1204\)

[In]

int((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+cos(d*x+c)*a)^(1/2),x,method=_RETURNVERBOSE)

[Out]

-1/2*A*cos(1/2*d*x+1/2*c)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*(4*a*(8*2^(1/2)*ln(4*(a^(1/2)*(a*sin(1/2*d*x+1/2*c)^2
)^(1/2)+a)/cos(1/2*d*x+1/2*c))-7*ln(-4/(2*cos(1/2*d*x+1/2*c)-2^(1/2))*(2^(1/2)*a*cos(1/2*d*x+1/2*c)-2^(1/2)*(a
*sin(1/2*d*x+1/2*c)^2)^(1/2)*a^(1/2)-2*a))-7*ln(4/(2*cos(1/2*d*x+1/2*c)+2^(1/2))*(2^(1/2)*a*cos(1/2*d*x+1/2*c)
+2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*a^(1/2)+2*a)))*sin(1/2*d*x+1/2*c)^4+(-32*2^(1/2)*ln(4*(a^(1/2)*(a*sin(
1/2*d*x+1/2*c)^2)^(1/2)+a)/cos(1/2*d*x+1/2*c))*a-4*2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*a^(1/2)+28*ln(4/(2*c
os(1/2*d*x+1/2*c)+2^(1/2))*(2^(1/2)*a*cos(1/2*d*x+1/2*c)+2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*a^(1/2)+2*a))*
a+28*ln(-4/(2*cos(1/2*d*x+1/2*c)-2^(1/2))*(2^(1/2)*a*cos(1/2*d*x+1/2*c)-2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)
*a^(1/2)-2*a))*a)*sin(1/2*d*x+1/2*c)^2+8*2^(1/2)*ln(4*(a^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)+a)/cos(1/2*d*x+1
/2*c))*a-7*ln(4/(2*cos(1/2*d*x+1/2*c)+2^(1/2))*(2^(1/2)*a*cos(1/2*d*x+1/2*c)+2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^
(1/2)*a^(1/2)+2*a))*a-7*ln(-4/(2*cos(1/2*d*x+1/2*c)-2^(1/2))*(2^(1/2)*a*cos(1/2*d*x+1/2*c)-2^(1/2)*(a*sin(1/2*
d*x+1/2*c)^2)^(1/2)*a^(1/2)-2*a))*a-2*2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*a^(1/2))/a^(3/2)/(2*cos(1/2*d*x+1
/2*c)-2^(1/2))^2/(2*cos(1/2*d*x+1/2*c)+2^(1/2))^2/sin(1/2*d*x+1/2*c)/(a*cos(1/2*d*x+1/2*c)^2)^(1/2)/d+1/2*C*co
s(1/2*d*x+1/2*c)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*(2^(1/2)*ln(2/(2*cos(1/2*d*x+1/2*c)+2^(1/2))*(2^(1/2)*a*cos(1/
2*d*x+1/2*c)+2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*a^(1/2)+2*a))+2^(1/2)*ln(-2/(2*cos(1/2*d*x+1/2*c)-2^(1/2))
*(2^(1/2)*a*cos(1/2*d*x+1/2*c)-2^(1/2)*(a*sin(1/2*d*x+1/2*c)^2)^(1/2)*a^(1/2)-2*a))-2*ln(2*(a^(1/2)*(a*sin(1/2
*d*x+1/2*c)^2)^(1/2)+a)/cos(1/2*d*x+1/2*c)))/a^(1/2)/sin(1/2*d*x+1/2*c)*2^(1/2)/(a*cos(1/2*d*x+1/2*c)^2)^(1/2)
/d

Fricas [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 276 vs. \(2 (134) = 268\).

Time = 0.33 (sec) , antiderivative size = 276, normalized size of antiderivative = 1.74 \[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=\frac {{\left ({\left (7 \, A + 8 \, C\right )} \cos \left (d x + c\right )^{3} + {\left (7 \, A + 8 \, C\right )} \cos \left (d x + c\right )^{2}\right )} \sqrt {a} \log \left (\frac {a \cos \left (d x + c\right )^{3} - 7 \, a \cos \left (d x + c\right )^{2} - 4 \, \sqrt {a \cos \left (d x + c\right ) + a} \sqrt {a} {\left (\cos \left (d x + c\right ) - 2\right )} \sin \left (d x + c\right ) + 8 \, a}{\cos \left (d x + c\right )^{3} + \cos \left (d x + c\right )^{2}}\right ) - 4 \, {\left (A \cos \left (d x + c\right ) - 2 \, A\right )} \sqrt {a \cos \left (d x + c\right ) + a} \sin \left (d x + c\right ) + \frac {8 \, \sqrt {2} {\left ({\left (A + C\right )} a \cos \left (d x + c\right )^{3} + {\left (A + C\right )} a \cos \left (d x + c\right )^{2}\right )} \log \left (-\frac {\cos \left (d x + c\right )^{2} + \frac {2 \, \sqrt {2} \sqrt {a \cos \left (d x + c\right ) + a} \sin \left (d x + c\right )}{\sqrt {a}} - 2 \, \cos \left (d x + c\right ) - 3}{\cos \left (d x + c\right )^{2} + 2 \, \cos \left (d x + c\right ) + 1}\right )}{\sqrt {a}}}{16 \, {\left (a d \cos \left (d x + c\right )^{3} + a d \cos \left (d x + c\right )^{2}\right )}} \]

[In]

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(1/2),x, algorithm="fricas")

[Out]

1/16*(((7*A + 8*C)*cos(d*x + c)^3 + (7*A + 8*C)*cos(d*x + c)^2)*sqrt(a)*log((a*cos(d*x + c)^3 - 7*a*cos(d*x +
c)^2 - 4*sqrt(a*cos(d*x + c) + a)*sqrt(a)*(cos(d*x + c) - 2)*sin(d*x + c) + 8*a)/(cos(d*x + c)^3 + cos(d*x + c
)^2)) - 4*(A*cos(d*x + c) - 2*A)*sqrt(a*cos(d*x + c) + a)*sin(d*x + c) + 8*sqrt(2)*((A + C)*a*cos(d*x + c)^3 +
(A + C)*a*cos(d*x + c)^2)*log(-(cos(d*x + c)^2 + 2*sqrt(2)*sqrt(a*cos(d*x + c) + a)*sin(d*x + c)/sqrt(a) - 2*
cos(d*x + c) - 3)/(cos(d*x + c)^2 + 2*cos(d*x + c) + 1))/sqrt(a))/(a*d*cos(d*x + c)^3 + a*d*cos(d*x + c)^2)

Sympy [F]

\[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=\int \frac {\left (A + C \cos ^{2}{\left (c + d x \right )}\right ) \sec ^{3}{\left (c + d x \right )}}{\sqrt {a \left (\cos {\left (c + d x \right )} + 1\right )}}\, dx \]

[In]

integrate((A+C*cos(d*x+c)**2)*sec(d*x+c)**3/(a+a*cos(d*x+c))**(1/2),x)

[Out]

Integral((A + C*cos(c + d*x)**2)*sec(c + d*x)**3/sqrt(a*(cos(c + d*x) + 1)), x)

Maxima [B] (verification not implemented)

Leaf count of result is larger than twice the leaf count of optimal. 57774 vs. \(2 (134) = 268\).

Time = 2.78 (sec) , antiderivative size = 57774, normalized size of antiderivative = 363.36 \[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=\text {Too large to display} \]

[In]

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(1/2),x, algorithm="maxima")

[Out]

-1/16*(4*sqrt(2)*cos(6*d*x + 6*c)^2*sin(3/2*d*x + 3/2*c) + 16*sqrt(2)*cos(5*d*x + 5*c)^2*sin(3/2*d*x + 3/2*c)
+ 36*sqrt(2)*cos(4*d*x + 4*c)^2*sin(3/2*d*x + 3/2*c) + 64*sqrt(2)*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 36
*sqrt(2)*cos(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*sin(6*d*x + 6*c)^2*sin(3/2*d*x + 3/2*c) + 16*sqrt
(2)*sin(5*d*x + 5*c)^2*sin(3/2*d*x + 3/2*c) + 36*sqrt(2)*sin(4*d*x + 4*c)^2*sin(3/2*d*x + 3/2*c) + 64*sqrt(2)*
sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 36*sqrt(2)*sin(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) - 8*(3*sqrt(2)*co
s(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) - 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*cos(3/2*d*x
+ 3/2*c)*sin(d*x + c) + (sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x
+ 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(6*d*x + 6*c) + 2*(sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7
/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(5*d*x + 5*c) - (3*sqrt(2)
*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(9/2*
d*x + 9/2*c) + 3*(3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*
c))*cos(4*d*x + 4*c) - 3*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*co
s(7/2*d*x + 7/2*c) - 4*(3*sqrt(2)*sin(5/2*d*x + 5/2*c) + sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 3*(3
*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) - (sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*s
qrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*c)
- 2*(sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*
cos(3/2*d*x + 3/2*c))*sin(5*d*x + 5*c) + (3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*
cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(9/2*d*x + 9/2*c) - 3*(3*sqrt(2)*cos(7/2*d*x + 7/2*c)
- 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) + 3*(4*sqrt(2)*cos(3*d*x + 3
*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c) + 4*(3*sqrt(2)*cos(5
/2*d*x + 5/2*c) + sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) - 3*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*c
os(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) - (2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c))*cos(4/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 32*(3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)
- 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) + (sqrt(2)*sin
(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/
2*c))*cos(6*d*x + 6*c) + 2*(sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*
d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(5*d*x + 5*c) - (3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*
d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(9/2*d*x + 9/2*c) + 3*(3*sqrt(2)*sin(7/2*
d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(4*d*x + 4*c) - 3*(4*sqrt(2)*
sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(7/2*d*x + 7/2*c) - 4*(3*sqrt(2)*si
n(5/2*d*x + 5/2*c) + sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 3*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2
)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) - (sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt
(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*c) - 2*(sqrt(2)*cos(9/2*d*x + 9/2*c) +
3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(5*d*x + 5*
c) + (3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x
+ c) + sqrt(2))*sin(9/2*d*x + 9/2*c) - 3*(3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - s
qrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) + 3*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2
*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c) + 4*(3*sqrt(2)*cos(5/2*d*x + 5/2*c) + sqrt(2)*cos(3/2*d*
x + 3/2*c))*sin(3*d*x + 3*c) - 3*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x +
5/2*c) - (2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3
/2*d*x + 3/2*c)))^2 + 48*(sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) - 8*(3*sqrt(2)
*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) - 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*cos(3/2*d
*x + 3/2*c)*sin(d*x + c) + (sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*
d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(6*d*x + 6*c) + 2*(sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*si
n(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(5*d*x + 5*c) - (3*sqrt
(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(9
/2*d*x + 9/2*c) + 3*(3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3
/2*c))*cos(4*d*x + 4*c) - 3*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))
*cos(7/2*d*x + 7/2*c) - 4*(3*sqrt(2)*sin(5/2*d*x + 5/2*c) + sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 3
*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) - (sqrt(2)*cos(9/2*d*x + 9/2*c) +
3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*
c) - 2*(sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(
2)*cos(3/2*d*x + 3/2*c))*sin(5*d*x + 5*c) + (3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(
2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(9/2*d*x + 9/2*c) - 3*(3*sqrt(2)*cos(7/2*d*x + 7/2*
c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) + 3*(4*sqrt(2)*cos(3*d*x
+ 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c) + 4*(3*sqrt(2)*co
s(5/2*d*x + 5/2*c) + sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) - 3*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2
)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) - (2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c))*sin(
4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 32*(3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*
c) - 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) + (sqrt(2)*
sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x +
3/2*c))*cos(6*d*x + 6*c) + 2*(sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5
/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(5*d*x + 5*c) - (3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin
(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(9/2*d*x + 9/2*c) + 3*(3*sqrt(2)*sin(7
/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(4*d*x + 4*c) - 3*(4*sqrt(
2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(7/2*d*x + 7/2*c) - 4*(3*sqrt(2)
*sin(5/2*d*x + 5/2*c) + sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 3*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqr
t(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) - (sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*s
qrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*c) - 2*(sqrt(2)*cos(9/2*d*x + 9/2*c)
+ 3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(5*d*x +
5*c) + (3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(
d*x + c) + sqrt(2))*sin(9/2*d*x + 9/2*c) - 3*(3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c)
- sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) + 3*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c)
+ 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c) + 4*(3*sqrt(2)*cos(5/2*d*x + 5/2*c) + sqrt(2)*cos(3/2
*d*x + 3/2*c))*sin(3*d*x + 3*c) - 3*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*
x + 5/2*c) - (2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c)))^2 - 16*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) + 8*(2*sqrt(2)*cos(5*d*x + 5*c)*sin(3/2*
d*x + 3/2*c) + 3*sqrt(2)*cos(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*
c) + 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*(sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c)
- sqrt(2)*sin(9/2*d*x + 9/2*c) - 3*sqrt(2)*sin(7/2*d*x + 7/2*c) + 3*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(6*d*x +
6*c) + 16*(3*sqrt(2)*cos(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
+ 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*(sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) -
sqrt(2)*sin(9/2*d*x + 9/2*c) - 3*sqrt(2)*sin(7/2*d*x + 7/2*c) + 3*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*
c) + 8*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d
*x + c))*cos(9/2*d*x + 9/2*c) + 24*(4*sqrt(2)*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*
c)*sin(3/2*d*x + 3/2*c) + 2*(sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) - 3*sqrt(2)*sin(7/2*d*x + 7/
2*c) + 3*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) + 24*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x
+ 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(7/2*d*x + 7/2*c) + 32*(3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) +
2*(sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(3*d*x + 3*c) -
24*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) + 4*(sqrt(2)*cos(6*d*x + 6*c)^2*
sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(5*d*x + 5*c)^2*sin(3/2*d*x + 3/2*c) + 9*sqrt(2)*cos(4*d*x + 4*c)^2*sin(3/
2*d*x + 3/2*c) + 16*sqrt(2)*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 9*sqrt(2)*cos(2*d*x + 2*c)^2*sin(3/2*d*x
+ 3/2*c) + sqrt(2)*sin(6*d*x + 6*c)^2*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*sin(5*d*x + 5*c)^2*sin(3/2*d*x + 3/2*c
) + 9*sqrt(2)*sin(4*d*x + 4*c)^2*sin(3/2*d*x + 3/2*c) + 16*sqrt(2)*sin(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 9
*sqrt(2)*sin(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) + 6*(2*sqrt(2)*cos(d*x + c) + 3*sqrt(2))*cos(2*d*x + 2*c)*sin
(3/2*d*x + 3/2*c) - 8*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) + 2*(2*sqrt(2)*cos(5*d*x + 5*c)*sin(3/2*d*x +
3/2*c) + 3*sqrt(2)*cos(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3
*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + 3*sqrt(2))*sin(3/2*d*x + 3/2*c) - 2
*sqrt(2)*sin(9/2*d*x + 9/2*c) - 6*sqrt(2)*sin(7/2*d*x + 7/2*c) + 6*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(6*d*x + 6
*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3
*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + 3*sqrt(2))*sin(3/2*d*x + 3/2*c) - 2
*sqrt(2)*sin(9/2*d*x + 9/2*c) - 6*sqrt(2)*sin(7/2*d*x + 7/2*c) + 6*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5
*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(
d*x + c))*cos(9/2*d*x + 9/2*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*
c)*sin(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + 3*sqrt(2))*sin(3/2*d*x + 3/2*c) - 6*sqrt(2)*sin(7/2*d*x +
7/2*c) + 6*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) + 12*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d
*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(7/2*d*x + 7/2*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c)
+ (2*sqrt(2)*cos(d*x + c) + 3*sqrt(2))*sin(3/2*d*x + 3/2*c) + 6*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(3*d*x + 3*c)
- 12*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) - 8*(3*sqrt(2)*cos(3/2*d*x +
3/2*c)*sin(2*d*x + 2*c) - 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin
(d*x + c) + (sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) -
sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(6*d*x + 6*c) + 2*(sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2
*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(5*d*x + 5*c) - (3*sqrt(2)*sin(4*d*x +
4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(9/2*d*x + 9/2*c)
+ 3*(3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(4*d*
x + 4*c) - 3*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(7/2*d*x +
7/2*c) - 4*(3*sqrt(2)*sin(5/2*d*x + 5/2*c) + sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 3*(3*sqrt(2)*sin
(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) - (sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7
/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*c) - 2*(sqrt(2)
*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x
+ 3/2*c))*sin(5*d*x + 5*c) + (3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x +
2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(9/2*d*x + 9/2*c) - 3*(3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*
cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) + 3*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt
(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c) + 4*(3*sqrt(2)*cos(5/2*d*x + 5/2
*c) + sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) - 3*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c)
+ sqrt(2))*sin(5/2*d*x + 5/2*c) - (2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c))*cos(2/3*arctan2(sin
(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sqrt(2)*sin(5*d*x + 5*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin
(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(2*d*x + 2
*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + 2*sqrt(2)*cos(9/2*d*x + 9/2*c) + 6*sq
rt(2)*cos(7/2*d*x + 7/2*c) - 6*sqrt(2)*cos(5/2*d*x + 5/2*c) - 2*sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*c)
+ 4*(3*sqrt(2)*sin(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sq
rt(2)*sin(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + 2*sqrt(2)*cos(9/2*
d*x + 9/2*c) + 6*sqrt(2)*cos(7/2*d*x + 7/2*c) - 6*sqrt(2)*cos(5/2*d*x + 5/2*c) - 2*sqrt(2)*cos(3/2*d*x + 3/2*c
))*sin(5*d*x + 5*c) - 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c)
+ 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(9/2*d*x + 9/2*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c)
+ 3*sqrt(2)*sin(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + 6*sqrt(2)*co
s(7/2*d*x + 7/2*c) - 6*sqrt(2)*cos(5/2*d*x + 5/2*c) - 2*sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) - 12*(4
*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c
) + 8*(3*sqrt(2)*sin(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) - 6*sqrt(
2)*cos(5/2*d*x + 5/2*c) - 2*sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 12*(3*sqrt(2)*cos(2*d*x + 2*c) +
2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(5/2*d*x + 5/2*c) + 12*(sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) - sqrt(
2)*cos(3/2*d*x + 3/2*c))*sin(2*d*x + 2*c) + (4*sqrt(2)*cos(d*x + c)^2 + 4*sqrt(2)*sin(d*x + c)^2 + 12*sqrt(2)*
cos(d*x + c) + 5*sqrt(2))*sin(3/2*d*x + 3/2*c) - (sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 +
9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*
x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(
2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*si
n(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqr
t(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4
*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) +
6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c
) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(
3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x
+ 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) +
6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*s
qrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(1/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))) + 8*(sqrt(2)*cos(6*d*x + 6*c)^2*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(5*d*x + 5*c)^2*sin(3/2*d*x + 3/2*c)
+ 9*sqrt(2)*cos(4*d*x + 4*c)^2*sin(3/2*d*x + 3/2*c) + 16*sqrt(2)*cos(3*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 9*
sqrt(2)*cos(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) + sqrt(2)*sin(6*d*x + 6*c)^2*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*
sin(5*d*x + 5*c)^2*sin(3/2*d*x + 3/2*c) + 9*sqrt(2)*sin(4*d*x + 4*c)^2*sin(3/2*d*x + 3/2*c) + 16*sqrt(2)*sin(3
*d*x + 3*c)^2*sin(3/2*d*x + 3/2*c) + 9*sqrt(2)*sin(2*d*x + 2*c)^2*sin(3/2*d*x + 3/2*c) + 6*(2*sqrt(2)*cos(d*x
+ c) + 3*sqrt(2))*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) - 8*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) + 2*(2*s
qrt(2)*cos(5*d*x + 5*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos
(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c)
+ 3*sqrt(2))*sin(3/2*d*x + 3/2*c) - 2*sqrt(2)*sin(9/2*d*x + 9/2*c) - 6*sqrt(2)*sin(7/2*d*x + 7/2*c) + 6*sqrt(
2)*sin(5/2*d*x + 5/2*c))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos
(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c)
+ 3*sqrt(2))*sin(3/2*d*x + 3/2*c) - 2*sqrt(2)*sin(9/2*d*x + 9/2*c) - 6*sqrt(2)*sin(7/2*d*x + 7/2*c) + 6*sqrt(
2)*sin(5/2*d*x + 5/2*c))*cos(5*d*x + 5*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqr
t(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(9/2*d*x + 9/2*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c)*sin(3/2*d
*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + 3*sqrt(2))*sin(3/2*d
*x + 3/2*c) - 6*sqrt(2)*sin(7/2*d*x + 7/2*c) + 6*sqrt(2)*sin(5/2*d*x + 5/2*c))*cos(4*d*x + 4*c) + 12*(4*sqrt(2
)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(7/2*d*x + 7/2*c) + 8*(3*sqrt(2)*
cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + 3*sqrt(2))*sin(3/2*d*x + 3/2*c) + 6*sqrt(2)*
sin(5/2*d*x + 5/2*c))*cos(3*d*x + 3*c) - 12*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(5/2*d*x
+ 5/2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(4*d*x + 4*c)*sin(3/2*d*x + 3/2*c
) + 4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt
(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + 2*sqrt(2)*cos(9/2*d*x + 9/2*c) + 6*sqrt(2)*cos(7/2*d*x + 7/2*c) - 6*sq
rt(2)*cos(5/2*d*x + 5/2*c) - 2*sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c)*
sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(2*d*x + 2*c)*sin(3/2*d*
x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + 2*sqrt(2)*cos(9/2*d*x + 9/2*c) + 6*sqrt(2)*cos(7/2*
d*x + 7/2*c) - 6*sqrt(2)*cos(5/2*d*x + 5/2*c) - 2*sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(5*d*x + 5*c) - 4*(3*sqrt(2
)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2
))*sin(9/2*d*x + 9/2*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(2*d*x + 2*c)*sin(
3/2*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + 6*sqrt(2)*cos(7/2*d*x + 7/2*c) - 6*sqrt(2)*co
s(5/2*d*x + 5/2*c) - 2*sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) - 12*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqr
t(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c)
*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) - 6*sqrt(2)*cos(5/2*d*x + 5/2*c) - 2*sqrt(
2)*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 12*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))
*sin(5/2*d*x + 5/2*c) + 12*(sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(2*d*
x + 2*c) + (4*sqrt(2)*cos(d*x + c)^2 + 4*sqrt(2)*sin(d*x + c)^2 + 12*sqrt(2)*cos(d*x + c) + 5*sqrt(2))*sin(3/2
*d*x + 3/2*c) - (sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16
*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*
c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)
*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5
*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)
*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqr
t(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3
*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c)
+ 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c)
+ 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*
x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*
c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3
*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(
2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c))))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 7*((2*(2*cos(5*d*x + 5*c)
+ 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6
*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*
x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x +
4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3
*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5
*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*
d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5
*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9
*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin
(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(4/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3
*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) +
4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*
cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos
(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*
x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x
+ 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) +
4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3
*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x +
2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*s
in(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c
)))^2 + (2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c)
+ 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c)
+ 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2
*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3
*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d
*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x +
c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) +
2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(
d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) +
16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*
x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(
4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*
c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c)
+ 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9
*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6
*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*s
in(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c
)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*s
in(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*
x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x +
2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x
+ 3/2*c), cos(3/2*d*x + 3/2*c)))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(2*(2*cos(5
*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6
*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) +
1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*
cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*co
s(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*si
n(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*
c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*si
n(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x
+ 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c
)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(2/3
*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3
*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x
+ 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2
+ 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 +
8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*
cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4
*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(
4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x +
5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c
)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c)
+ 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*
c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(
3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*
d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x
+ 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*
x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x +
4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3
*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x +
5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2
+ 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 1
2*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))) + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c)
+ 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(
2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x +
2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(
3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c
)^2 + 4*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(2*(2*cos(5*d*x + 5
*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + co
s(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5
*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*
x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x
+ 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x
+ 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin
(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x
+ 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c)
+ 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*
sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2
(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c
) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin
(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x
+ 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c)
+ 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*
x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*log(2*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*
c)))^2 + 2*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*sqrt(2)*cos(1/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*sqrt(2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
+ 2) + 7*((2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x +
c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c
) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) +
2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos
(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos
(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x
+ c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c)
+ 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*si
n(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c)
+ 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(
d*x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(2*(2*cos(5*d*x + 5*c) + 3*co
s(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x +
6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c
) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) +
9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 +
6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3
*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6
*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4
*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*
d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x
+ 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d
*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + (2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*c
os(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*
d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x
+ 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x +
2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c)
+ 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) +
3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d
*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*
c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*
sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x +
c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4
*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*c
os(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos
(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*
x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x +
3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)
^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*si
n(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(
d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c
))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin
(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c)
+ 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/
2*d*x + 3/2*c))) + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2
*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(
2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d
*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x +
c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c
)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c)
+ 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2
*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x +
2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3
*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)
^2 + 4*cos(d*x + c) + 1)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*(2*cos(5*d*x + 5*c
) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(
6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d
*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x
+ 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x +
3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*(2*cos(5*d*x
+ 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c)
+ cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*c
os(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(
4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*
d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*(2*cos
(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x +
6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c)
+ 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1
)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*
cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*
sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x +
6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*
sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d
*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3
*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2
/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3
*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*
c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*
sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d
*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2
*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x
+ c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x +
2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c
) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*
cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*
cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(
d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2
*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2
*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3
*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*c
os(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sin(5*d*x + 5*c) + 3*sin(
4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2
+ 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(
5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x +
4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c
)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*log(2*cos(1/3*arctan2(sin(3/2*
d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*
sqrt(2)*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 2*sqrt(2)*sin(1/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c))) + 2) - 7*((2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3
*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(
3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d
*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x
+ 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c
) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c)
+ 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3
*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x +
3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) +
2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x
+ c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 +
4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)
*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*c
os(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(
d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x
+ 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x +
c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*
sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*si
n(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x +
c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*s
in(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c
) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + (2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x +
4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 +
4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos
(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*
d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos
(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*
x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4
*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*
x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c
)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2
+ 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*
c), cos(3/2*d*x + 3/2*c)))^2 + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*
x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3
*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c)
+ 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) +
2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos
(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2
*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*
c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*
sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x
+ c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*
sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))*sin(2/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x
+ 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*
c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6
*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3
*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(
2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*
d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c
) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*s
in(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*
x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*
c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3
/2*c)))^2 + 2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x +
c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*
c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c)
+ 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*co
s(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*co
s(d*x + c)^2 + 2*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos
(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*
x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x +
2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) +
1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2
+ 4*cos(d*x + c)^2 + 2*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) +
2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*co
s(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2
*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x
+ c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2
*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c
) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin
(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x
+ 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin
(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x +
c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sin(5*d*x + 5*c
) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*
x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c
) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*s
in(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2
*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(
3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c)
+ 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*c
os(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(
3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d
*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x +
2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*
c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*si
n(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x
+ 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c)
+ 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d
*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
+ 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6
*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x
+ c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*
sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*
d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1
)*log(2*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c
), cos(3/2*d*x + 3/2*c)))^2 - 2*sqrt(2)*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*sqrt(
2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2) + 7*((2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x
+ 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2
+ 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*c
os(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(
4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*c
os(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*
d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 +
4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*
d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4
*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^
2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*
d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x +
3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*
c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c)
+ 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*c
os(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin
(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x +
3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) +
3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d
*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) +
4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + (2*(2*
cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*
x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x +
c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c)
+ 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) +
16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*
(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x
+ 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c
))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(
4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x
+ 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*si
n(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) +
4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*co
s(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x
+ 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4
*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x +
c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c
) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin
(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c
)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8
*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*si
n(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos
(3/2*d*x + 3/2*c)))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(2*(2*cos(5*d*x + 5*c) +
3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*
x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x +
5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*
c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)
^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c)
+ 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x
+ 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c)
+ 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*si
n(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*
d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(2/3*arctan2(sin(3
/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) +
3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos
(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*
d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x
+ 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*
c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3
*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) +
4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*
cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos
(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*
x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d
*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x +
4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 +
6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*
(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*co
s(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(
3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4
*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4
*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*
d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x +
2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x +
c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) +
2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(
d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) +
16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*
x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*
d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)
^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) +
4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*c
os(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(
2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin
(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^
2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin
(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x
+ 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*
c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*
x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c)
+ 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin
(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x +
c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin
(d*x + c)^2 + 4*cos(d*x + c) + 1)*log(2*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*sin
(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 2*sqrt(2)*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c),
cos(3/2*d*x + 3/2*c))) - 2*sqrt(2)*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2) + 8*((sqr
t(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x +
3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin
(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2
+ 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt
(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt
(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c
) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x +
2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5
*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)
*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2
*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x +
2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin
(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))
^2 + 4*(sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*
cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*
sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*
x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*
c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(
2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*
cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt
(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sq
rt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c)
+ 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sq
rt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*
sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*
x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x
+ 3/2*c)))^2 + (sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16
*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*
c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)
*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5
*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)
*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqr
t(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3
*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c)
+ 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c)
+ 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*
x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*
c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3
*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(
2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), co
s(3/2*d*x + 3/2*c)))^2 + 4*(sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x +
4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin
(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2
+ 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sq
rt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c)
+ 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3
*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x
+ 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2
*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*
d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(
2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin
(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x
+ 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c
) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(4/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c)))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(sqrt(2)*cos(
6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 +
9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x +
5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt
(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4
*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(
6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqr
t(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2
*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + s
qrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*
c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x
+ c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*
c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2
*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x +
3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + sqrt
(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x +
3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(
5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 +
12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(
2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(
2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c)
+ 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x +
2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(sqrt(2)*cos(6*d*
x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*s
qrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)
^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*
sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x
+ 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*
x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)
*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqr
t(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(
2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(sqrt(2)*cos(6*d*x + 6*c)^2 +
4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2
*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(
2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x +
2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*
sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4
*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c
) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*
x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*s
in(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x
+ 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*s
in(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x
+ c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)
*cos(d*x + c) + sqrt(2))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sqrt(2)*sin(5*d*x
+ 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin
(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x
+ 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c
) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d
*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4
*(sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*
d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2
)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*
c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3
*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) +
sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x
+ 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*
d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*co
s(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*
sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sq
rt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*
sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*
d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c)
)*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2
*c))) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*si
n(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*
x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*
c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2
*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*log(cos(1/3*arctan2(sin(3/2*d*x +
3/2*c), cos(3/2*d*x + 3/2*c)))^2 + sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*sin(1/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 1) - 8*((sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d
*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*
sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c
)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c)
+ 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x
+ 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*
d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5
*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*c
os(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sq
rt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) +
4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt
(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5
*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x +
4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sq
rt(2))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt
(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x +
2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(
4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*si
n(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)
*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqr
t(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqr
t(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) +
sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c
) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*
x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c)
+ 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x
+ c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*
sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*
x + c) + sqrt(2))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + (sqrt(2)*cos(6*d*x + 6*c)^2
+ 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos
(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqr
t(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x
+ 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) +
4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) +
4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x +
c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d
*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*
d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)
*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*
x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)
*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d
*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(
2)*cos(d*x + c) + sqrt(2))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(sqrt(2)*cos(6*d
*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*
sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c
)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)
*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*
x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d
*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2
)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sq
rt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt
(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c)
+ 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c
))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c)
+ 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sq
rt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c
) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))*sin(2/3*arc
tan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)
^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*c
os(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*
sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(
2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) +
3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c
) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*
c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x
+ 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos
(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)
*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4
*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*
c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8
*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*si
n(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*
x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*s
qrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)
^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) +
4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x +
3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d
*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*
d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*co
s(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqr
t(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 +
9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d
*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt
(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*s
in(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sq
rt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) +
4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) +
6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*
c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x
+ c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*c
os(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 +
sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*
x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^
2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*
d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*co
s(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2
)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sq
rt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt
(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c
) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*
sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2
)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(
2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2/3*arctan2(si
n(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sq
rt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*
sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x
+ 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c
) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2
))*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 4*(sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*co
s(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2
+ 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x
+ 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x
+ c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3
*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*c
os(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*
cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(
2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*
(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*
c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3
*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*
sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*
d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c)
+ sqrt(2))*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*s
qrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*si
n(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*s
qrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)
*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4
*sqrt(2)*cos(d*x + c) + sqrt(2))*log(cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + sin(1/3*
arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 - 2*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 1) + 8*(2*sqrt(2)*sin(5*d*x + 5*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(4*d*x + 4*c)*sin(3/2*d*x +
3/2*c) + 4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) +
2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7/2*d*x + 7/2*c) -
3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*c) + 16*(3*sqrt(2)*sin(4*d*x + 4*
c)*sin(3/2*d*x + 3/2*c) + 4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(2*d*x + 2*c)*sin(3/2
*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7/2
*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(5*d*x + 5*c) - 8*(3*sqrt(2)
*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2)
)*sin(9/2*d*x + 9/2*c) + 24*(4*sqrt(2)*sin(3*d*x + 3*c)*sin(3/2*d*x + 3/2*c) + 3*sqrt(2)*sin(2*d*x + 2*c)*sin(
3/2*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) + 3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*co
s(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) - 24*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(
2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c) + 32*(3*sqrt(2)*sin(2*d*x + 2*c)*
sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*
cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) + 24*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*si
n(5/2*d*x + 5/2*c) + 24*(2*sqrt(2)*sin(3/2*d*x + 3/2*c)*sin(d*x + c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(2*d*x
+ 2*c) + 4*(4*sqrt(2)*cos(d*x + c)^2 + 4*sqrt(2)*sin(d*x + c)^2 + 8*sqrt(2)*cos(d*x + c) + 3*sqrt(2))*sin(3/2
*d*x + 3/2*c) - 4*(sqrt(2)*cos(6*d*x + 6*c)^2*cos(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(5*d*x + 5*c)^2*cos(3/2*d*x
+ 3/2*c) + 9*sqrt(2)*cos(4*d*x + 4*c)^2*cos(3/2*d*x + 3/2*c) + 16*sqrt(2)*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2
*c) + 9*sqrt(2)*cos(2*d*x + 2*c)^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(6*d*x + 6*c)^2 + 4*
sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(4*d*x + 4*c)^2 + 16*sqrt(
2)*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*co
s(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)*sin(d*x + c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c)*cos(3
/2*d*x + 3/2*c) + 2*(2*sqrt(2)*cos(5*d*x + 5*c)*cos(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(4*d*x + 4*c)*cos(3/2*d*x
+ 3/2*c) + 4*sqrt(2)*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) +
(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3/2*d*x + 3/2*c))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c)*cos
(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*c)*cos(3/2*d*x +
3/2*c) + (2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3/2*d*x + 3/2*c))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x +
3*c)*cos(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + sqrt(
2))*cos(3/2*d*x + 3/2*c))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + (2*sqrt(2)*c
os(d*x + c) + sqrt(2))*cos(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + (4*sqrt(2)*cos(d*x + c)^2 + 4*sqrt(2)*sin(d*x
+ c)^2 + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3/2*d*x + 3/2*c) - (sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(
5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 +
4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x +
4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x +
c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d
*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos
(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*co
s(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2)
)*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2
*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c)
+ 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*s
qrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*si
n(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*
x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) +
sqrt(2))*cos(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin
(5*d*x + 5*c) + 3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(4*d*x + 4*c) + 4*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3
*c) + 3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*sin(6*d*x
+ 6*c) + 4*(3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(4*d*x + 4*c) + 4*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c)
+ 3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*sin(5*d*x +
5*c) + 6*(4*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) +
2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x +
2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*sin(3*d*x + 3*c) + 8*(3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2
*d*x + 2*c) - 3*sqrt(2)*cos(2*d*x + 2*c)*sin(3/2*d*x + 3/2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c) +
(sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(
3/2*d*x + 3/2*c))*cos(6*d*x + 6*c) + 2*(sqrt(2)*sin(9/2*d*x + 9/2*c) + 3*sqrt(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt
(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(5*d*x + 5*c) - (3*sqrt(2)*sin(4*d*x + 4*c) + 4*sq
rt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(9/2*d*x + 9/2*c) + 3*(3*sqrt
(2)*sin(7/2*d*x + 7/2*c) - 3*sqrt(2)*sin(5/2*d*x + 5/2*c) - sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(4*d*x + 4*c) - 3
*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*cos(7/2*d*x + 7/2*c) - 4*(
3*sqrt(2)*sin(5/2*d*x + 5/2*c) + sqrt(2)*sin(3/2*d*x + 3/2*c))*cos(3*d*x + 3*c) + 3*(3*sqrt(2)*sin(2*d*x + 2*c
) + 2*sqrt(2)*sin(d*x + c))*cos(5/2*d*x + 5/2*c) - (sqrt(2)*cos(9/2*d*x + 9/2*c) + 3*sqrt(2)*cos(7/2*d*x + 7/2
*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(6*d*x + 6*c) - 2*(sqrt(2)*cos(9/2*d*x
+ 9/2*c) + 3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x + 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*si
n(5*d*x + 5*c) + (3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqr
t(2)*cos(d*x + c) + sqrt(2))*sin(9/2*d*x + 9/2*c) - 3*(3*sqrt(2)*cos(7/2*d*x + 7/2*c) - 3*sqrt(2)*cos(5/2*d*x
+ 5/2*c) - sqrt(2)*cos(3/2*d*x + 3/2*c))*sin(4*d*x + 4*c) + 3*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*
x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(7/2*d*x + 7/2*c) + 4*(3*sqrt(2)*cos(5/2*d*x + 5/2*c) + sqrt(2
)*cos(3/2*d*x + 3/2*c))*sin(3*d*x + 3*c) - 3*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*s
in(5/2*d*x + 5/2*c) - (2*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(3/2*d*x + 3/2*c))*sin(2/3*arctan2(sin(3/2*d*x + 3
/2*c), cos(3/2*d*x + 3/2*c))))*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 8*(sqrt(2)*cos(6
*d*x + 6*c)^2*cos(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(5*d*x + 5*c)^2*cos(3/2*d*x + 3/2*c) + 9*sqrt(2)*cos(4*d*x +
4*c)^2*cos(3/2*d*x + 3/2*c) + 16*sqrt(2)*cos(3*d*x + 3*c)^2*cos(3/2*d*x + 3/2*c) + 9*sqrt(2)*cos(2*d*x + 2*c)
^2*cos(3/2*d*x + 3/2*c) + sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin
(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(3*d*
x + 3*c)^2 + 9*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2
*c)*sin(d*x + c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + 2*(2*sqrt(2)*c
os(5*d*x + 5*c)*cos(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(4*d*x + 4*c)*cos(3/2*d*x + 3/2*c) + 4*sqrt(2)*cos(3*d*x +
3*c)*cos(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + sqrt(
2))*cos(3/2*d*x + 3/2*c))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c)*cos(3/2*d*x + 3/2*c) + 4*sqrt(2)*co
s(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 3*sqrt(2)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c
) + sqrt(2))*cos(3/2*d*x + 3/2*c))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c)*cos(3/2*d*x + 3/2*c) + 3*s
qrt(2)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3/2*d*x + 3/2*c))*cos(4*
d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c)*cos(3/2*d*x + 3/2*c) + (2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3/2*d
*x + 3/2*c))*cos(3*d*x + 3*c) + (4*sqrt(2)*cos(d*x + c)^2 + 4*sqrt(2)*sin(d*x + c)^2 + 4*sqrt(2)*cos(d*x + c)
+ sqrt(2))*cos(3/2*d*x + 3/2*c) - (sqrt(2)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4
*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt
(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x +
3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 12*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 +
2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x
+ 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*
d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*co
s(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2
)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))
*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) +
3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt
(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*si
n(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*
x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(1/3*arctan2(sin(3/
2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(5*d*x + 5*c) + 3*sqrt(2)*cos(3/
2*d*x + 3/2*c)*sin(4*d*x + 4*c) + 4*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*cos(3/2*d*x + 3/
2*c)*sin(2*d*x + 2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(3/2*d
*x + 3/2*c)*sin(4*d*x + 4*c) + 4*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*cos(3/2*d*x + 3/2*c
)*sin(2*d*x + 2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3/2*d*x
+ 3/2*c)*sin(3*d*x + 3*c) + 3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) + 2*sqrt(2)*cos(3/2*d*x + 3/2*c)*s
in(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(3/2*d*x + 3/2*c)*sin(2*d*x + 2*c) + 2*sqrt(2)*cos(3/2*d*x + 3
/2*c)*sin(d*x + c))*sin(3*d*x + 3*c))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) - 4*(sqrt(2
)*cos(6*d*x + 6*c)^2 + 4*sqrt(2)*cos(5*d*x + 5*c)^2 + 9*sqrt(2)*cos(4*d*x + 4*c)^2 + 16*sqrt(2)*cos(3*d*x + 3*
c)^2 + 9*sqrt(2)*cos(2*d*x + 2*c)^2 + 4*sqrt(2)*cos(d*x + c)^2 + sqrt(2)*sin(6*d*x + 6*c)^2 + 4*sqrt(2)*sin(5*
d*x + 5*c)^2 + 9*sqrt(2)*sin(4*d*x + 4*c)^2 + 16*sqrt(2)*sin(3*d*x + 3*c)^2 + 9*sqrt(2)*sin(2*d*x + 2*c)^2 + 1
2*sqrt(2)*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sqrt(2)*sin(d*x + c)^2 + 2*(2*sqrt(2)*cos(5*d*x + 5*c) + 3*sqrt(2)
*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2)
)*cos(6*d*x + 6*c) + 4*(3*sqrt(2)*cos(4*d*x + 4*c) + 4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*c) +
2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(5*d*x + 5*c) + 6*(4*sqrt(2)*cos(3*d*x + 3*c) + 3*sqrt(2)*cos(2*d*x + 2*
c) + 2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(4*d*x + 4*c) + 8*(3*sqrt(2)*cos(2*d*x + 2*c) + 2*sqrt(2)*cos(d*x +
c) + sqrt(2))*cos(3*d*x + 3*c) + 6*(2*sqrt(2)*cos(d*x + c) + sqrt(2))*cos(2*d*x + 2*c) + 2*(2*sqrt(2)*sin(5*d*
x + 5*c) + 3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*si
n(d*x + c))*sin(6*d*x + 6*c) + 4*(3*sqrt(2)*sin(4*d*x + 4*c) + 4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*
x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(5*d*x + 5*c) + 6*(4*sqrt(2)*sin(3*d*x + 3*c) + 3*sqrt(2)*sin(2*d*x + 2*
c) + 2*sqrt(2)*sin(d*x + c))*sin(4*d*x + 4*c) + 8*(3*sqrt(2)*sin(2*d*x + 2*c) + 2*sqrt(2)*sin(d*x + c))*sin(3*
d*x + 3*c) + 4*sqrt(2)*cos(d*x + c) + sqrt(2))*sin(1/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))))*A
/(((2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)
*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*c
os(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(
d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x
+ 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x +
c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*
sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*si
n(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x +
c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*s
in(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c
) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x
+ 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2
+ 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*c
os(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(
4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*c
os(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*
d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 +
4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*
d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4
*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^
2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/
2*c), cos(3/2*d*x + 3/2*c)))^2 + (2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*
x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3
*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c)
+ 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) +
2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos
(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2
*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*
c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*
sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x
+ c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*
sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sin(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 4*(2*(2*
cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*
x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x +
c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c)
+ 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) +
16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*
(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x
+ 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c
))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(
4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x
+ 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*si
n(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x +
3/2*c))) + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*
x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x +
2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*
c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)
*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4
*cos(d*x + c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin
(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x +
2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) +
2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x +
3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*
cos(d*x + c) + 1)*sin(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c)))^2 + 2*(2*cos(5*d*x + 5*c) + 3*c
os(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6*d*x +
6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*x + 5*
c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x + 4*c)
+ 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3*c)^2
+ 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*(2*cos(5*d*x + 5*c)
+ 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) + cos(6
*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(5*d*
x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4*d*x +
4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d*x + 3
*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*(2*cos(5*d*x
+ 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(6*d*x + 6*c) +
cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*co
s(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(4
*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d*x + 3*c) + 16*cos(3*d
*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x + c)^2 + 2*(2*sin(5*d
*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) +
sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d
*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*
c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 +
9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(2/3*arct
an2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x +
3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*
sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d
*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*
c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin
(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*cos(4/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))
) + 4*(2*(2*cos(5*d*x + 5*c) + 3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*cos(d*x + c) +
1)*cos(6*d*x + 6*c) + cos(6*d*x + 6*c)^2 + 4*(3*cos(4*d*x + 4*c) + 4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) +
2*cos(d*x + c) + 1)*cos(5*d*x + 5*c) + 4*cos(5*d*x + 5*c)^2 + 6*(4*cos(3*d*x + 3*c) + 3*cos(2*d*x + 2*c) + 2*c
os(d*x + c) + 1)*cos(4*d*x + 4*c) + 9*cos(4*d*x + 4*c)^2 + 8*(3*cos(2*d*x + 2*c) + 2*cos(d*x + c) + 1)*cos(3*d
*x + 3*c) + 16*cos(3*d*x + 3*c)^2 + 6*(2*cos(d*x + c) + 1)*cos(2*d*x + 2*c) + 9*cos(2*d*x + 2*c)^2 + 4*cos(d*x
+ c)^2 + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c
))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2
*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x + 5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*
x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2 + 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 1
6*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 12*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x
+ c) + 1)*cos(2/3*arctan2(sin(3/2*d*x + 3/2*c), cos(3/2*d*x + 3/2*c))) + 2*(2*sin(5*d*x + 5*c) + 3*sin(4*d*x +
4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(6*d*x + 6*c) + sin(6*d*x + 6*c)^2 + 4*(3
*sin(4*d*x + 4*c) + 4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(5*d*x + 5*c) + 4*sin(5*d*x +
5*c)^2 + 6*(4*sin(3*d*x + 3*c) + 3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(4*d*x + 4*c) + 9*sin(4*d*x + 4*c)^2
+ 8*(3*sin(2*d*x + 2*c) + 2*sin(d*x + c))*sin(3*d*x + 3*c) + 16*sin(3*d*x + 3*c)^2 + 9*sin(2*d*x + 2*c)^2 + 1
2*sin(2*d*x + 2*c)*sin(d*x + c) + 4*sin(d*x + c)^2 + 4*cos(d*x + c) + 1)*sqrt(a)*d)

Giac [A] (verification not implemented)

none

Time = 0.37 (sec) , antiderivative size = 244, normalized size of antiderivative = 1.53 \[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=-\frac {\frac {4 \, \sqrt {2} {\left (A \sqrt {a} + C \sqrt {a}\right )} \log \left (\sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right ) + 1\right )}{a \mathrm {sgn}\left (\cos \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )} - \frac {4 \, \sqrt {2} {\left (A \sqrt {a} + C \sqrt {a}\right )} \log \left (-\sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right ) + 1\right )}{a \mathrm {sgn}\left (\cos \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )} - \frac {{\left (7 \, A + 8 \, C\right )} \log \left ({\left | \frac {1}{2} \, \sqrt {2} + \sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right ) \right |}\right )}{\sqrt {a} \mathrm {sgn}\left (\cos \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )} + \frac {{\left (7 \, A + 8 \, C\right )} \log \left ({\left | -\frac {1}{2} \, \sqrt {2} + \sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right ) \right |}\right )}{\sqrt {a} \mathrm {sgn}\left (\cos \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )} - \frac {2 \, \sqrt {2} {\left (2 \, A \sqrt {a} \sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )^{3} + A \sqrt {a} \sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )}}{{\left (2 \, \sin \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )^{2} - 1\right )}^{2} a \mathrm {sgn}\left (\cos \left (\frac {1}{2} \, d x + \frac {1}{2} \, c\right )\right )}}{8 \, d} \]

[In]

integrate((A+C*cos(d*x+c)^2)*sec(d*x+c)^3/(a+a*cos(d*x+c))^(1/2),x, algorithm="giac")

[Out]

-1/8*(4*sqrt(2)*(A*sqrt(a) + C*sqrt(a))*log(sin(1/2*d*x + 1/2*c) + 1)/(a*sgn(cos(1/2*d*x + 1/2*c))) - 4*sqrt(2
)*(A*sqrt(a) + C*sqrt(a))*log(-sin(1/2*d*x + 1/2*c) + 1)/(a*sgn(cos(1/2*d*x + 1/2*c))) - (7*A + 8*C)*log(abs(1
/2*sqrt(2) + sin(1/2*d*x + 1/2*c)))/(sqrt(a)*sgn(cos(1/2*d*x + 1/2*c))) + (7*A + 8*C)*log(abs(-1/2*sqrt(2) + s
in(1/2*d*x + 1/2*c)))/(sqrt(a)*sgn(cos(1/2*d*x + 1/2*c))) - 2*sqrt(2)*(2*A*sqrt(a)*sin(1/2*d*x + 1/2*c)^3 + A*
sqrt(a)*sin(1/2*d*x + 1/2*c))/((2*sin(1/2*d*x + 1/2*c)^2 - 1)^2*a*sgn(cos(1/2*d*x + 1/2*c))))/d

Mupad [F(-1)]

Timed out. \[ \int \frac {\left (A+C \cos ^2(c+d x)\right ) \sec ^3(c+d x)}{\sqrt {a+a \cos (c+d x)}} \, dx=\int \frac {C\,{\cos \left (c+d\,x\right )}^2+A}{{\cos \left (c+d\,x\right )}^3\,\sqrt {a+a\,\cos \left (c+d\,x\right )}} \,d x \]

[In]

int((A + C*cos(c + d*x)^2)/(cos(c + d*x)^3*(a + a*cos(c + d*x))^(1/2)),x)

[Out]

int((A + C*cos(c + d*x)^2)/(cos(c + d*x)^3*(a + a*cos(c + d*x))^(1/2)), x)